Anthony Duncombe, 1st Baron Feversham (c. 1695 – 18 June 1763), was a British landowner and politician.
Duncombe was the son of Anthony Duncombe and Jane Cornwallis, daughter of the Honourable Frederick Cornwallis, younger son of Frederick Cornwallis, 1st Baron Cornwallis. In 1721 he succeeded to half of the enormous estates of his uncle, Sir Charles Duncombe. The same year he was returned to Parliament for Salisbury, a seat he held until 1734, and then represented Downton between 1734 and 1747. The latter year he was raised to the peerage as Lord Feversham, Baron of Downton, in the County of Wilts.
Lord Feversham was thrice married. He married firstly the Honourable Margaret Verney, daughter of George Verney, 12th Baron Willoughby de Broke, in 1716. There were no children from this marriage. After her death in October 1755 he married secondly Frances Bathurst, daughter of Peter Bathurst, in 1756. They had one child, the Honourable Frances Duncombe (1757–1827). Lady Feversham died shortly after the birth of her daughter. Lord Feversham married thirdly Anne Hales, daughter of Sir Thomas Hales, 3rd Baronet, in 1758. They had one daughter, the Honourable Anne Duncombe (d. 1829), who married her step-brother Jacob Pleydell-Bouverie, 2nd Earl of Radnor. Lord Feversham died in June 1763. As he had no sons the barony died with him. Lady Feversham married as her second husband William de Bouverie, 1st Earl of Radnor. She died in June 1795. The barony was revived in 1826 in favour of Lord Feversham's kinsman Charles Duncombe, a descendant of Feversham's aunt Ursula Duncombe, who had inherited the other half of Sir Charles Duncombe's fortune.